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New MDS self-dual codes over finite fields

机译:有限域上的新MDS自对偶代码

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摘要

In this paper we construct MDS Euclidean and Hermitian self-dual codes which are extended cyclic duadic codes or negacyclic codes. We also construct Euclidean self-dual codes which are extended negacyclic codes. Based on these constructions, a large number of new MDS self-dual codes are given with parameters for which self-dual codes were not previously known to exist.
机译:在本文中,我们构造了MDS欧几里得和厄米自对偶码,它们是扩展的循环双偶码或负循环码。我们还构造了欧几里得自对偶码,它是扩展的负循环码。基于这些构造,给出了许多新的MDS自对码,其参数以前未知为自对码。

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